404040008000 has 112 divisors (see below), whose sum is σ = 1000902319248. Its totient is φ = 161568000000.

The previous prime is 404040007937. The next prime is 404040008041. The reversal of 404040008000 is 800040404.

It can be written as a sum of positive squares in 8 ways, for example, as 166216028416 + 237823979584 = 407696^2 + 487672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40803050 + ... + 40812950.

Almost surely, 2^404040008000 is an apocalyptic number.

404040008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404040008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500451159624).

404040008000 is an abundant number, since it is smaller than the sum of its proper divisors (596862311248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404040008000 is an equidigital number, since it uses as much as digits as its factorization.

404040008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 404040008000 its reverse (800040404), we get a palindrome (404840048404).

The spelling of 404040008000 in words is "four hundred four billion, forty million, eight thousand".